






"""simple docstring"""


from __future__ import annotations

__SCREAMING_SNAKE_CASE   =   []


def        UpperCAmelCase      (					a__     ,      a__     ,      a__ ):





						'''simple docstring'''






						for i in range(len(a__ ) ):
												if board[row][i] == 1:
																		return False
						for i in range(len(a__ ) ):
												if board[i][column] == 1:
																		return False
						for i, j in zip(range(a__     ,      -1     ,      -1 )     ,      range(a__     ,      -1     ,      -1 ) ):
												if board[i][j] == 1:
																		return False
						for i, j in zip(range(a__     ,      -1     ,      -1 )     ,      range(a__     ,      len(a__ ) ) ):
												if board[i][j] == 1:
																		return False
						return True


def        UpperCAmelCase      (					a__     ,      a__ ):





						'''simple docstring'''






						if row >= len(a__ ):
												solution.append(a__ )
												printboard(a__ )
												print()
												return True
						for i in range(len(a__ ) ):
												if is_safe(a__     ,      a__     ,      a__ ):
																		lowerCAmelCase   :Union[str, Any]						=			1
																		solve(a__     ,      row + 1 )
																		lowerCAmelCase   :str						=			0
						return False


def        UpperCAmelCase      (					a__ ):





						'''simple docstring'''






						for i in range(len(a__ ) ):
												for j in range(len(a__ ) ):
																		if board[i][j] == 1:
																								print('Q'     ,      end=' ' )
																		else:
																								print('.'     ,      end=' ' )
												print()


# n=int(input("The no. of queens"))
__SCREAMING_SNAKE_CASE   =   8
__SCREAMING_SNAKE_CASE   =   [[0 for i in range(n)] for j in range(n)]
solve(board, 0)







print('The total no. of solutions are :', len(solution))







"""simple docstring"""


from __future__ import annotations

from collections import namedtuple
from dataclasses import dataclass




@dataclass
class 						__UpperCamelCase     :
					lowercase_    :				int
					lowercase_    :				TreeNode | None      =  None
					lowercase_    :				TreeNode | None      =  None


__SCREAMING_SNAKE_CASE   =   namedtuple('CoinsDistribResult', 'moves excess')


def        UpperCAmelCase      (					a__ ):





						'''simple docstring'''






						if root is None:
												return 0

						# Validation
						def count_nodes(a__ ) -> int:
												if node is None:
																		return 0

												return count_nodes(node.left ) + count_nodes(node.right ) + 1

						def count_coins(a__ ) -> int:
												if node is None:
																		return 0

												return count_coins(node.left ) + count_coins(node.right ) + node.data

						if count_nodes(a__ ) != count_coins(a__ ):
												raise ValueError('The nodes number should be same as the number of coins' )

						# Main calculation
						def get_distrib(a__ ) -> CoinsDistribResult:

												if node is None:
																		return CoinsDistribResult(0     ,      1 )

												lowerCAmelCase	, lowerCAmelCase   :Optional[int]						=			get_distrib(node.left )
												lowerCAmelCase	, lowerCAmelCase   :str						=			get_distrib(node.right )

												lowerCAmelCase   :str						=			1 - left_distrib_excess
												lowerCAmelCase   :Optional[Any]						=			1 - right_distrib_excess

												lowerCAmelCase   :Any						=			(
												    left_distrib_moves
												    + right_distrib_moves
												    + abs(a__ )
												    + abs(a__ )
												)
												lowerCAmelCase   :Tuple						=			node.data - coins_to_left - coins_to_right

												return CoinsDistribResult(a__     ,      a__ )

						return get_distrib(a__ )[0]


if __name__ == "__main__":
		import doctest

		doctest.testmod()